Cohomology of arithmetic families of (,Γ)-modules
By Kiran S. Kedlaya, Jonathan Pottharst, Liang Xiao. 2012
166 citations recorded by the source corpus.
We prove the niteness of the ( ’; )-cohomology and the Iwasawa cohomology of arithmetic families of (’; )-modules. Using this niteness theorem, we show that a family of Galois representations that is densely pointwise rened in the sense of Mazur is actually trianguline as a family over a large subspace. In the case of the ColemanMazur eigencurve, we determine the behavior at all classical points.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4c15203cb0cd9647bd5a427c176b3c6381bcf861
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Analytic families of finite-slope Selmer groups (2013, methodology): “This has recently been proven; see [Kedlaya et al. 2012].”